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Finding the Fourth Proportional to 37,989, 56,985.12 and 10,287

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Solution

The fourth proportional to 37,989, 56,985.12 and 10,287 is: 15,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,989 : 56,985.12 = 10,287 : x
  2. Step 2: Convert to fraction form
    37,989/56,985.12 = 10,287/x
  3. Step 3: Cross multiply
    37,989x = 56,985.12 × 10,287
  4. Step 4: Simplify right side
    37,989x = 586,205,929.44
  5. Step 5: Solve for x
    x = 586,205,929.44/37,989
  6. Step 6: Final answer
    x = 15,430.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.